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Simplifying 0.06(x + -4) + 0.16x = 0.02x + -0.03(30) Reorder the terms: 0.06(-4 + x) + 0.16x = 0.02x + -0.03(30) (-4 * 0.06 + x * 0.06) + 0.16x = 0.02x + -0.03(30) (-0.24 + 0.06x) + 0.16x = 0.02x + -0.03(30) Combine like terms: 0.06x + 0.16x = 0.22x -0.24 + 0.22x = 0.02x + -0.03(30) Multiply -0.03 * 30 -0.24 + 0.22x = 0.02x + -0.9 Reorder the terms: -0.24 + 0.22x = -0.9 + 0.02x Solving -0.24 + 0.22x = -0.9 + 0.02x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.02x' to each side of the equation. -0.24 + 0.22x + -0.02x = -0.9 + 0.02x + -0.02x Combine like terms: 0.22x + -0.02x = 0.2x -0.24 + 0.2x = -0.9 + 0.02x + -0.02x Combine like terms: 0.02x + -0.02x = 0.00 -0.24 + 0.2x = -0.9 + 0.00 -0.24 + 0.2x = -0.9 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.2x = -0.9 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.2x = -0.9 + 0.24 0.2x = -0.9 + 0.24 Combine like terms: -0.9 + 0.24 = -0.66 0.2x = -0.66 Divide each side by '0.2'. x = -3.3 Simplifying x = -3.3
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